Geometric objects in an approach to quantum geometry

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

Ideas from deformation quantization applied to algebras with one generator lead to methods to treat a nonlinear flat connection. It provides us elements of algebras to be parallel sections. The moduli space of the parallel sections is studied as an example of bundle-like objects with discordant (sogo) transition functions, which suggests us to treat movable branching singularities.

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